SOLUTION: What are the steps to simplify this problem? logc20c/logc50-logc5 (log in base c 20c divided by log base c 50 minus log base c 5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What are the steps to simplify this problem? logc20c/logc50-logc5 (log in base c 20c divided by log base c 50 minus log base c 5)      Log On


   



Question 459926: What are the steps to simplify this problem?
logc20c/logc50-logc5
(log in base c 20c divided by log base c 50 minus log base c 5)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
logc(20c)/logc50-logc5
----
= {[logc(20)-logc(c)]/logc(50)}- logc(5)
-----
= {[logc(20)-1]/logc(50)} - logc(5)
==========================================
If your problem is really the following you get a different answer:
logc(20c)/[logc50-logc5]
---
= [logc(20)-1]/[logc(50/5)]
---
= [logc(20)-1]/[logc(10)]
================================
Cheers,
Stan H.